{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b9e5e1af-f819-44a9-8647-a3a50c191558",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cantera as ct\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "from scipy.interpolate import interp1d\n",
    "\n",
    "p0 = 101325\n",
    "T0 = 300\n",
    "phi = 0.7 # equivalence ratio\n",
    "alpha = 0.6\n",
    "width = 0.02 # 2cm\n",
    "loglevel = 0\n",
    "\n",
    "xh2 = alpha / (1 - alpha) * 1\n",
    "fuel = {'CH4': 1, 'H2': xh2}\n",
    "oxidizer = {'O2': 1, 'N2': 3.76}\n",
    "\n",
    "gas = ct.Solution('gri30.yaml')\n",
    "gas.TP = T0, p0\n",
    "gas.set_equivalence_ratio(phi, fuel, oxidizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cbfa1acc-3509-425b-a863-ff1a91734f4a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flame speed: 0.34056 m/s\n"
     ]
    }
   ],
   "source": [
    "flame = ct.FreeFlame(gas, width=width)\n",
    "flame.solve(loglevel, auto=True)\n",
    "flame_speed = flame.velocity[0] #Sl0\n",
    "print(f'Flame speed: {flame_speed:.5f} m/s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0d495716-4c08-4ec6-8cb3-8c070416ec32",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adiabatic temperature (Tad) from FreeFlame: 1820.61 K\n"
     ]
    }
   ],
   "source": [
    "def get_adiabatic_temperature_from_flame(flame): # lamninar unstretched flame\n",
    "    Tad = flame.T[-1]  # final status of the flame\n",
    "    return Tad\n",
    "\n",
    "Tad = get_adiabatic_temperature_from_flame(flame) # laminar unstretched configuration\n",
    "print(f'Adiabatic temperature (Tad) from FreeFlame: {Tad:.2f} K')\n",
    "Xflame = flame.X[:,-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3b2b9a79-9007-4e33-a581-4b1a6b211b4b",
   "metadata": {},
   "outputs": [],
   "source": [
    "cp = flame.cp_mass[0]\n",
    "density = flame.density_mass[0]    \n",
    "lambda_ = flame.thermal_conductivity[0]\n",
    "thermal_diffusivity = lambda_ / (density * cp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f06c4a2d-5c43-4563-b914-058463324248",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_consumption_speed(flame_cf, gas, fuel_species):\n",
    "    rho_u = flame_cf.density[0]\n",
    "    total_fuel_mass_fraction = sum(flame_cf.Y[gas.species_index(fuel), 0] for fuel in fuel_species)\n",
    "\n",
    "    integral_numerator = 0\n",
    "    for fuel in fuel_species:\n",
    "        i_fuel = gas.species_index(fuel)\n",
    "        nk = flame_cf.Y[i_fuel, 0] / total_fuel_mass_fraction\n",
    "        integral = scipy.integrate.simpson(gas.molecular_weights[i_fuel] * flame_cf.net_production_rates[i_fuel], x=flame_cf.grid)\n",
    "        integral_numerator += nk * integral\n",
    "\n",
    "    mass_fraction_diff = sum(flame_cf.Y[gas.species_index(fuel), -1] - flame_cf.Y[gas.species_index(fuel), 0] for fuel in fuel_species)\n",
    "    S_cF = integral_numerator / (rho_u * mass_fraction_diff)\n",
    "    return S_cF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "118d2747-e501-45cb-bfed-d6033c63507c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "12.524228101508317\n",
      "0.2113768628097843\n",
      "13.833337615061861\n",
      "0.2023301038721611\n",
      "15.26893855945729\n",
      "0.19286479162221276\n",
      "16.853361165806763\n",
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      "20.49921913954492\n",
      "0.15958246928186662\n"
     ]
    }
   ],
   "source": [
    "mdot_values = np.logspace(-2, 2, 100)  # From 0.01 to 100 with 100 points\n",
    "Ka_values = []\n",
    "ScF_values = []\n",
    "\n",
    "# Loop through mdot values\n",
    "for mdot in mdot_values:\n",
    "    # Initialize gas object in each iteration to avoid carrying over previous states\n",
    "    gas = ct.Solution('gri30.yaml')\n",
    "    gas.TP = T0, p0\n",
    "    gas.set_equivalence_ratio(phi, fuel, oxidizer)\n",
    "    \n",
    "    flame_cf = ct.CounterflowPremixedFlame(gas=gas, width=width)\n",
    "    flame_cf.transport_model = 'multicomponent'\n",
    "    flame_cf.energy_enabled = True\n",
    "    flame.soret_enabled = True\n",
    "    flame_cf.set_refine_criteria(ratio=3, slope=0.1, curve=0.2, prune=0.02)\n",
    "    flame_cf.reactants.mdot = mdot\n",
    "    flame_cf.products.mdot = mdot\n",
    "    flame_cf.products.T = Tad  # no heat loss(beta=1)\n",
    "    flame_cf.products.X = Xflame\n",
    "    flame_cf.set_initial_guess(equilibrate=False)\n",
    "    \n",
    "    flame_cf.solve(loglevel, auto=True)\n",
    "\n",
    "    # Update temperature for current mdot\n",
    "    Tp = 1500\n",
    "    \n",
    "    # Calculate the maximum gradient |du/dx|\n",
    "    grad_u = np.gradient(flame_cf.velocity, flame_cf.grid) \n",
    "    max_grad_idx = np.argmax(np.abs(grad_u))  # find max |du/dx| index\n",
    "    max_grad_value = np.abs(grad_u[max_grad_idx])\n",
    "    \n",
    "    # Calculate strain rate (Ka)\n",
    "    Ka = (thermal_diffusivity/flame_speed) / flame_speed * max_grad_value\n",
    "    Ka_values.append(Ka)\n",
    "    print(Ka)\n",
    "    \n",
    "    ScF = calculate_consumption_speed(flame_cf, gas, ['CH4', 'H2'])\n",
    "    ScF_values.append(ScF)\n",
    "    print(ScF)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1a1e09fc-355d-4ce9-82a8-1e5e355e0ae1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "0.7983651253443452\n",
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      "0.7846025514511329\n",
      "0.7769809545529445\n",
      "0.7687608874665061\n",
      "0.7597551451676174\n",
      "0.74894421669597\n",
      "0.7374591530366923\n",
      "0.7252509877735519\n",
      "0.7127631916777737\n",
      "0.6990042793564621\n",
      "0.6818212542770032\n",
      "0.662562760631425\n",
      "0.6437270050269585\n",
      "0.6206692992130902\n",
      "0.5941051547020741\n",
      "0.5663120053340887\n",
      "0.534046103222338\n",
      "0.5023056252088943\n",
      "0.4685845842314483\n"
     ]
    }
   ],
   "source": [
    "y_values = []\n",
    "for i in ScF_values:\n",
    "    temp = i / flame_speed\n",
    "    y_values.append(temp)\n",
    "    print(temp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "30659f1c-6188-4bac-92ae-fb9ba69a7d1b",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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58uQKtw8ODsakSZMwduxYJCUlOcxWq46LFy+WO/3aYrHg2LFjMBgM9mvKVPR7V8YWJK59XYUQ+Oijj2pUZ22TJKlMW+/btw9//vmnw7KKfmeDwYC+ffti9+7daN++fbltXV6PEjVs7Jkhl/fvf/+7ym2GDh2KBQsWYNy4cfjHP/6BjIwMvPHGG2X+p7x48WJs3rwZQ4cORUREBAoLC+2zRmy9GQ8//DDc3d1xyy23IDQ0FBcuXMD8+fPh7e19wyGhMi1atMA//vEPLFq0CCqVCkOGDLHPZgoPD8cTTzzhsH2/fv2waNEie41Ayb90o6OjsWHDBtx55503da2QCRMmYMGCBXjjjTcwffp0GI1G3HbbbXj99dcREBCAqKgoJCQk4JNPPilzgbi2bdsCAJYsWQIvLy+4ubkhOjoa/v7+WLRoESZOnIjMzEzcc8899pkze/fuRVpaWpmegPI88MADmDJlClJSUtCrVy+0aNHCYX337t0xbNgwtG/fHr6+vjh8+DBWrFiBnj17wmAwAAA+++wzPPDAA/j0008xYcKECp9rxYoV+PDDDzFu3Dh07doV3t7eOHfuHD7++GMcPHgQL7/8sj2AtWvXDgDw9ttvY+LEidBqtWjRokWlF3ccMGAAdDodxo4di2eeeQaFhYX44IMPcPny5Spfh7o0bNgw/Otf/8Ls2bPRp08fJCUlYe7cuYiOjnaYpefl5YXIyEh8//336NevH/z8/Ox/H2+//TZuvfVW9O7dG4888giioqKQk5OD48eP44cffsDmzZtl/A3JKck8AJmoVl07m6ky5c1m+vTTT0WLFi2EXq8XTZo0EfPnzxeffPKJwyyTP//8U4wcOVJERkYKvV4v/P39RZ8+fcTatWvtx1m+fLno27evCA4OFjqdToSFhYl7771X7Nu3r8r6AYjp06dXus31s5mEKJnJ8p///Ec0b95caLVaERAQIP7v//5PnD17tsz+33//vQAgBgwY4LD84YcfFgDEO++8U2WdQlydzVSen376SQAQc+bMEUIIce7cOTFq1Cjh6+srvLy8xODBg8WBAwdEZGSkmDhxosO+CxcuFNHR0UKtVgsAYunSpfZ1CQkJYujQocLPz09otVrRqFEjMXToULFq1apq1ZyVlSXc3d3LzBCzee6550SXLl2Er6+v/e/giSeeEOnp6fZtbH9j19ZVnkOHDoknn3xSdOnSRQQGBgqNRiN8fX1Fnz59xIoVK8ps//zzz4uwsDChUqkcZnRFRkaKoUOHlvscP/zwg4iNjRVubm6iUaNG4umnnxa//PJLmRlhFc1mKu9vrbw2uZ5tNlN5r3tRUZF46qmnRKNGjYSbm5vo1KmTWLNmTbk1bNq0SXTs2FHo9XoBwOF5T506JR544AHRqFEjodVqRWBgoOjVq5d45ZVXKq2NGiZJiOuuCEZERESkIBwzQ0RERIrGMENERESKxjBDREREisYwQ0RERIrGMENERESK5vLXmbFarUhJSYGXl1eldx0mIiIi5yGEQE5ODsLCwhzudl8elw8zKSkpCA8Pl7sMIiIiugFnz54tc6uW67l8mLFdQfPs2bMwGo21emyTyYQNGzZg4MCB0Gq1tXpsqntsP+VjGyof21DZ6rL9srOzER4eXumVsG1cPszYTi0ZjcY6CTMGgwFGo5FvQgVi+ykf21D52IbKVh/tV50hIhwATERERIrGMENERESKxjBDREREisYwQ0RERIrGMENERESKxjBDREREisYwQ0RERIrGMENERESKxjBDREREisYwQ0RERIrGMENERESKxjBDREREisYwQ0RERIrGMENEREQ35MPfTmHOLjWW/H5K1joYZoiIiOiGnEzPQ2aRhGKzVdY6GGaIiIjohpzOyAcARPkbZK2DYYaIiIhuSLI9zHjIWgfDDBEREdVYdqEJGXnFAIBI9swQERGR0iSn5wEAvLQCXm4aWWuRNczMnz8fXbt2hZeXF4KCgjBixAgkJSU5bCOEQHx8PMLCwuDu7o64uDgcPHhQpoqJiIgIAE6VhplAN5kLgcxhJiEhAdOnT8f27duxceNGmM1mDBw4EHl5efZtXnvtNSxYsADvvvsuEhMTERISggEDBiAnJ0fGyomIiBq25PSS8TKBbkLmSgBZ+4XWrVvn8Hjp0qUICgrC33//jdtuuw1CCCxcuBAvvvgi7r77bgDA8uXLERwcjJUrV2LKlClljllUVISioiL74+zsbACAyWSCyWSq1fptx6vt41L9YPspH9tQ+diGynUyraRTIdBd1En71eSY8p7kuk5WVhYAwM/PDwBw6tQpXLhwAQMHDrRvo9fr0adPH2zbtq3cMDN//nzMmTOnzPINGzbAYKibAUobN26sk+NS/WD7KR/bUPnYhsqz54QagIRAt7ppv/z8/Gpv6zRhRgiBWbNm4dZbb0Xbtm0BABcuXAAABAcHO2wbHByM06dPl3uc559/HrNmzbI/zs7ORnh4OAYOHAij0VirNZtMJmzcuBEDBgyAVqut1WNT3WP7KR/bUPnYhsr18p7NAMwIdBN10n62MyvV4TRhZsaMGdi3bx/+97//lVknSZLDYyFEmWU2er0eer2+zHKtVltnb5S6PDbVPbaf8rENlY9tqCyX84qRVWAGUDIAuC7arybHc4qp2Y8++ijWrl2LLVu2oHHjxvblISEhAK720NhcunSpTG8NERER1Y9TGSUTdYKNeujUMhcDmcOMEAIzZszA6tWrsXnzZkRHRzusj46ORkhIiMO5uOLiYiQkJKBXr171XS4RERHh6jVmomW+WJ6NrKeZpk+fjpUrV+L777+Hl5eXvQfG29sb7u7ukCQJM2fOxLx589CsWTM0a9YM8+bNg8FgwLhx4+QsnYiIqMGyXWMm0t8DQJq8xUDmMPPBBx8AAOLi4hyWL126FJMmTQIAPPPMMygoKMC0adNw+fJldO/eHRs2bICXl1c9V0tERETA1TAT5W8Aqj9Ot87IGmaEqPpCO5IkIT4+HvHx8XVfEBEREVUpOeNqmCl2gjDjFAOAiYiISBmEEPar/0Y5yZgZhhkiIiKqtrTcIuQWmaGSgHA/hhkiIiJSGFuvTJiPO/Qa54gRzlEFERERKYJ9WnaAh8yVXMUwQ0RERNVmu2AewwwREREp0qk020wmhhkiIiJSoGT2zBAREZFSWa3i6jVmGGaIiIhIaS7mFKLQZIVGJaGxr7vc5dgxzBAREVG12G5jEO5ngFbtPBHCeSohIiIip+ZwTyYnwjBDRERE1WK7xowzjZcBGGaIiIiomk6VXv23CcMMERERKZEzzmQCGGaIiIioGixWgTMZtrtlM8wQERGRwpy/XIBiixU6jQphPs4zLRtgmCEiIqJqOJ6WA6BkvIxaJclcjSOGGSIiIqrS8Uu5AICYIE+ZKymLYYaIiIiqZAszTQMZZoiIiEiB2DNDREREiiWEYM8MERERKVdabhGyC82QJKBJoHNNywYYZoiIiKgKtl6ZcF8D3LRqmaspi2GGiIiIKnXCdorJCcfLAAwzREREVIXjDDNERESkZMfTnHfwL8AwQ0RERFVw5mnZAMMMERERVSK70ISL2UUAeJqJiIiIFMg2+DfQSw9vd63M1ZSPYYaIiIgq5MwXy7NhmCEiIqIK2Qf/OukpJoBhhoiIiCrh7NeYARhmiIiIqBLOfo0ZgGGGiIiIKlBosuBMZj4AhhkiIiJSoOSMPFgF4KXXIMhLL3c5FWKYISIionJde7E8SZJkrqZiDDNERERULiWMlwEYZoiIiKgCDDNERESkaEq4YB7AMENERETlsFgFTqbnAWDPDBERESnQucv5KDZbodOoEO5nkLucSjHMEBERURm2U0xNAjygVjnvTCaAYYaIiIjKce20bGfHMENERERlKGXwL8AwQ0REROU4WhpmmgUzzBAREZHCWK0Cxy7mAABahnjJXE3VGGaIiIjIwdnL+cgvtkCnUSHK30PucqrEMENEREQOjlwo6ZVpGugJjdr5o4LzV0hERET1KumCck4xAQwzREREdB1bmGnBMENERERKdORCNgCgOcMMERERKU2hyYLkjHwAPM1ERERECnQiLRcWq4DRTYMQo5vc5VQLwwwRERHZXR38a4QkOfc9mWwYZoiIiMhOaYN/AYYZIiIiusYRhhkiIiJSMqVdYwZgmCEiIqJSWfkmXMguBKCcadkAwwwRERGVsl1fppGPO4xuWpmrqT6GGSIiIgIAJF1U3ngZgGGGiIiIStnGyzQPZpghIiIiBVLi4F+AYYaIiIgACCF4momIiIiUKyWrEDmFZmhUEmICPeUup0YYZoiIiAhJpTOZmgR6QKdRVjxQVrVERERUJ65e+dcocyU1xzBDREREih38CzDMEBEREa65waTCpmUDDDNEREQNnslixYm0XADKm8kEMMwQERE1eCfT8mCyCHjo1Gjs6y53OTXGMENERNTAHUrNAgC0DDVCkiSZq6k5WcPMb7/9huHDhyMsLAySJGHNmjUO6ydNmgRJkhy+evToIU+xRERELurg+ZJp2W3DlDeTCZA5zOTl5SE2NhbvvvtuhdsMHjwYqamp9q+ff/65HiskIiJyfQdSSnpm2jTylrmSG6OR88mHDBmCIUOGVLqNXq9HSEhItY9ZVFSEoqIi++Ps7JK0aTKZYDKZbqzQCtiOV9vHpfrB9lM+tqHysQ3lJ4TAwZSSz8oWQYYatUVdtl9NjilrmKmOrVu3IigoCD4+PujTpw9effVVBAUFVbj9/PnzMWfOnDLLN2zYAIPBUCc1bty4sU6OS/WD7ad8bEPlYxvKJ70QyCnUQC0JHP/7f0i+gXM2ddF++fn51d5WEkKIWq/gBkiShO+++w4jRoywL/vqq6/g6emJyMhInDp1Ci+99BLMZjP+/vtv6PX6co9TXs9MeHg40tPTYTTW7rlAk8mEjRs3YsCAAdBqtbV6bKp7bD/lYxsqH9tQfusOXsSjX+5FmzAvrHmkZ432rcv2y87ORkBAALKysqr8/HbqnpkxY8bYf27bti26dOmCyMhI/PTTT7j77rvL3Uev15cbdLRabZ29Uery2FT32H7KxzZUPrahfI5cLLm+TLtGPjfcBnXRfjU5nqKmZoeGhiIyMhLHjh2TuxQiIiKXYBsv00ahM5kAhYWZjIwMnD17FqGhoXKXQkREpHhCCBw4r+yZTIDMp5lyc3Nx/Phx++NTp05hz5498PPzg5+fH+Lj4zFq1CiEhoYiOTkZL7zwAgICAjBy5EgZqyYiInINl3KKkJ5bDJUEtFLg3bJtZA0zO3fuRN++fe2PZ82aBQCYOHEiPvjgA+zfvx+fffYZrly5gtDQUPTt2xdfffUVvLyUd98IIiIiZ3Ow9PoyMYGecNepZa7mxskaZuLi4lDZZKr169fXYzVEREQNywHblX8VfIoJUNiYGSIiIqo9tp4ZJQ/+BRhmiIiIGixbz0ybMPbMEBERkcJcyS/G+SsFAIDW7JkhIiIipbFdXybCzwBvd2VfsJBhhoiIqAFylfEyAMMMERFRg+QqM5kAhhkiIqIGydYzo/TxMgDDDBERUYOTV2TGyfQ8AEBbhc9kAhhmiIiIGpwjF7IhBBDkpUegl17ucm4awwwREVED40rjZQCGGSIiogbHdqfsti4wXgZgmCEiImpwDpReY6a1C4yXARhmiIiIGpT8YjOSLpSEmQ7hPvIWU0sYZoiIiBqQA+ezYRVAsFGPEG83ucupFQwzREREDcjes1cAALGNfWStozYxzBARETUge0rDTIcIH1nrqE0MM0RERA2IPcywZ4aIiIiUJi2nCOevFECSgHaNXWMmE8AwQ0RE1GDYxss0DfSEl5tW3mJqEcMMERFRA7H33BUAQKyLTMm2YZghIiJqIGzjZRhmiIiISHGsVmE/zdSRYYaIiIiUJjkjD9mFZug0KrQI8ZK7nFrFMENERNQA2MbLtA0zQqt2rY9/1/ptiIiIqFx7zlwBAHQI95W3kDrAMENERNQA7DmXBQCIDXed68vYMMwQERG5uCKzBYdTXOtO2ddimCEiInJxh1NzUGyxwtegRYSfQe5yah3DDBERkYvbe831ZSRJkreYOsAwQ0RE5OLsYcaFbi55LYYZIiIiF2e/U3aEj6x11BWGGSIiIheWlW/CyfQ8AOyZISIiIgWyXSwvws8APw+dvMXUEYYZIiIiF/b36csAgI4ueooJYJghIiJyaTtPZwIAukb5yVxJ3WGYISIiclEmixW7S29jwDBDREREinMoJRv5xRZ4u2vRLMhT7nLqDMMMERGRi0pMLjnF1CXSFyqV610sz4ZhhoiIyEXtTC4Z/NvFhU8xAQwzRERELkkIcc3gX1+Zq6lbDDNEREQuKDkjH+m5xdBpVGjX2FvucuoUwwwREZELso2XiW3sDb1GLXM1dYthhoiIyAXttA3+dfHxMgDDDBERkUuyDf7txjBDRERESpOeW4ST6XmQJKBThGsP/gUYZoiIiFyO7RRTi2AveBu0MldT9xhmiIiIXEyi/foyrt8rAzDMEBERuRxbz4wr34/pWgwzRERELiS/2IwDKdkAGsZMJoBhhoiIyKXsOXMFFqtAIx93NPJxl7ucesEwQ0RE5EIa2ngZgGGGiIjIpdjux9RQTjEBDDNEREQuo9hsxd+nS3pmXP3mktdimCEiInIR+85dQX6xBf4eOjQP8pK7nHrDMENEROQitp3IAAD0iPGHSiXJXE39YZghIiJyEX8cTwcA9Irxl7mS+sUwQ0RE5AIKii3YfeYKAKBXTIC8xdQzhhkiIiIX8Pfpyyi2WBHq7YYof4Pc5dQrhhkiIiIXsO2E7RRTACSp4YyXARhmiIiIXIJt8G9DGy8DMMwQEREpXnahCfvOXQEA9GSYISIiIqXZcTITVgFEB3ggrIHcj+laDDNEREQKZzvF1BB7ZQCGGSIiIsW7OviXYYaIiIgUJiO3CEcu5AAAejRhmCEiIiKF+fNkySmmliFeCPDUy1yNPDQ3s3N+fj7OnDmD4uJih+Xt27e/qaKIiIioeq5OyW5YV/291g2FmbS0NEyePBm//PJLuestFstNFUVERETV82cDvr6MzQ2dZpo5cyYuX76M7du3w93dHevWrcPy5cvRrFkzrF27trZrJCIionKkXCnAqfQ8qCSgWxM/ucuRzQ31zGzevBnff/89unbtCpVKhcjISAwYMABGoxHz58/H0KFDa7tOIiIiuo7tFFO7xj4wumllrkY+N9Qzk5eXh6CgIACAn58f0tLSAADt2rXDrl27aq86IiIiqlDC0ZLP31ubNtxTTMANhpkWLVogKSkJANChQwd8+OGHOH/+PBYvXoyQkJBqH+e3337D8OHDERYWBkmSsGbNGof1QgjEx8cjLCwM7u7uiIuLw8GDB2+kZCIiIpdisQr8fqwkzMS1CJK5Gnnd8JiZ1NRUAMDs2bOxbt06RERE4O2338b8+fOrfZy8vDzExsbi3XffLXf9a6+9hgULFuDdd99FYmIiQkJCMGDAAOTk5NxI2URERC5jz9kruJJvgtFNg47hPnKXI6sajZl544038NRTT+H++++3L+vYsSOSk5Nx5MgRBAQE4N5778WYMWOqdbwhQ4ZgyJAh5a4TQmDhwoV48cUXcffddwMAli9fjuDgYKxcuRJTpkwpd7+ioiIUFRXZH2dnZwMATCYTTCZTteqqLtvxavu4VD/YfsrHNlQ+tuGN23z4AgDglhh/CKsFJmv9zySuy/aryTElIYSo7sbu7u54//33MXny5DLrcnNzMXDgQFy5cgWHDh2qdgH2QiQJ3333HUaMGAEAOHnyJGJiYrBr1y507NjRvt1dd90FHx8fLF++vNzjxMfHY86cOWWWr1y5EgaDocZ1EREROaM39qlxNk/CuBgLugdV+6NcMfLz8zFu3DhkZWXBaDRWum2NemZWrFiB8ePHw9fX1x46gKtBJiMjAwkJCTdU9PUuXChJnMHBwQ7Lg4ODcfr06Qr3e/755zFr1iz74+zsbISHh2PgwIFVvhg1ZTKZsHHjRgwYMABabcMdRa5UbD/lYxsqH9vwxqTnFuHsnyWftzNG3Y5AL3mu/FuX7Wc7s1IdNQoz99xzD65cuYJx48bhp59+Qt++fZGbm4vBgwcjPT0dCQkJNRoAXB2SJDk8FkKUWXYtvV4Pvb5so2q12jp7o9Tlsanusf2Uj22ofGzDmtl28iIAoE2YEWF+njJXUzftV5Pj1fg6Mw899BAyMzMxYsQIfP/993jppZdw4cIFJCQkIDQ0tKaHq5AtFF24cMHhuJcuXSrTW0NERNSQbD1qm8UUKHMlzuGGZjM988wzmDZtGvr164eUlBRs3boVjRo1qtXCoqOjERISgo0bN9qXFRcXIyEhAb169arV5yIiIlIKTskuq0Y9M7ZZRTZarRYBAQF47LHHHJavXr26WsfLzc3F8ePH7Y9PnTqFPXv2wM/PDxEREZg5cybmzZuHZs2aoVmzZpg3bx4MBgPGjRtXk7KJiIhcBqdkl1WjMOPt7e3weOzYsTf15Dt37kTfvn3tj20DdydOnIhly5bhmWeeQUFBAaZNm4bLly+je/fu2LBhA7y8vG7qeYmIiJQqIekSAKB380Bo1Dd0gsXl1CjMLF26tFafPC4uDpXNDJckCfHx8YiPj6/V5yUiIlKqLUmlp5iac7yMDSMdERGRQqTlFGH/+SwAQB8O/rVjmCEiIlKI30pnMbUJMyLIy03mapwHwwwREZFCcEp2+RhmiIiIFMBssXJKdgUYZoiIiBRgR3ImruSb4GvQckr2dRhmiIiIFGDDwZJbGPRrFcwp2dfhq0FEROTkhBDYcLDkBsyD2tTuPRBdAcMMERGRk9t/PgspWYUw6NTo3SxA7nKcDsMMERGRk7OdYurTPBBuWrXM1TgfhhkiIiInt56nmCrFMENEROTETqbl4tilXGhUEvq25JTs8jDMEBERObH1paeYesb4w9tdK3M1zolhhoiIyInxFFPVGGaIiIic1IWsQuw5ewUAMLB1sLzFODGGGSIiIie18VBJr0zHCB8EGXljyYowzBARETkp23gZnmKqHMMMERGRE8rKN2H7yQwADDNVYZghIiJyQr8euQizVaB5sCeiAzzkLsepMcwQERE5oZ/3pwIABrNXpkoMM0RERE7mcl4xtialAQCGx4bJXI3zY5ghIiJyMr8cuACzVaBVqBHNgr3kLsfpMcwQERE5mbV7zwMA7urAXpnqYJghIiJyIqlZBfjrVCYAnmKqLoYZIiIiJ/Lj3lQIAXSN8kUjH3e5y1EEhhkiIiInsnZvCgDgzg6NZK5EORhmiIiInMSJtFzsP58FtUrCHW05Jbu6GGaIiIicxNo9Jb0yvZsFwN9TL3M1ysEwQ0RE5ASEEPZTTJzFVDMMM0RERE7gwPlsnErPg16jwoDWPMVUEwwzRERETuD7PSXXlunfOhieeo3M1SgLwwwREZHMLFaBH/aVnmLitWVqjGGGiIhIZn8cT8fF7CIY3TTo0yJQ7nIUh2GGiIhIZl8lngUAjOjYCHqNWuZqlIdhhoiISEaZecXYcOgCAGBM13CZq1EmhhkiIiIZfbf7PEwWgbaNjGgT5i13OYrEMENERCQTIQS+SjwDABjTNULmapSLYYaIiEgme85ewdGLudBrVLiTs5huGMMMERGRTL7eWTLwd2i7UHi7a2WuRrkYZoiIiGSQV2S234vpXg78vSkMM0RERDL4aX8q8ootiPI3oHu0n9zlKBrDDBERkQy+Lr22zL1dwyFJkszVKBvDDBERUT07fikHO09fhlol4Z5OjeUuR/EYZoiIiOqZ7Yq/fVsEIcjoJnM1yscwQ0REVI/yi832MDO2Gwf+1gaGGSIionq0ZncKsgvNiPQ3oG+LILnLcQkMM0RERPVECIFl204BACb0jIJKxYG/tYFhhoiIqJ78eSIDRy/mwqBTY3QXDvytLQwzRERE9WTptmQAwD2dG8Poxiv+1haGGSIionpwNjMfmw5fBABM7BUlbzEuhmGGiIioHnz2ZzKEAPo0D0RMoKfc5bgUhhkiIqI6lldkxpel07En3RIlbzEuiGGGiIiojq3efR45hWZEB3igT7NAuctxOQwzREREdUgIgWV/lEzHntgzktOx6wDDDBERUR3aejQNJ9Ly4KnXYFRnTseuCwwzREREdUQIgfc2HwcAjOseAS9Ox64TDDNERER15K9Tmdh5+jJ0GhUeujVa7nJcFsMMERFRHXlvS0mvzL1dGvPu2HWIYYaIiKgO7D17Bb8fS4daJWHKbTFyl+PSGGaIiIjqwPtbS3pl7uoQhnA/g8zVuDaGGSIiolp29GIO1h+8CEkCpsWxV6auMcwQERHVsg+2ngAADG4TgqZBXjJX4/oYZoiIiGrRmYx8rN2bAgCYFtdU5moaBoYZIiKiWvRBwglYrAK3NQ9Eu8becpfTIDDMEBER1ZLTGXlYtbPkhpIz+rJXpr4wzBAREdWSBRuPwmwV6NM8EN2i/eQup8FgmCEiIqoFh1Ky7WNlnh7UQuZqGhaGGSIiolrwxoYkCAEMbR+Kto04VqY+McwQERHdpJ3Jmdh85BLUKglPDmgudzkNDsMMERHRTRBC4LV1SQCA0Z0bo0mgp8wVNTwMM0RERDdh69E07EjOhE6jwuP9m8ldToPEMENERHSDrFaB10t7ZSb2jESot7vMFTVMTh1m4uPjIUmSw1dISIjcZREREQEAvt97HodSs+Gp1+ARXu1XNhq5C6hKmzZtsGnTJvtjtVotYzVEREQl8orM+PcvRwAAj8TFwM9DJ3NFDZfThxmNRlOj3piioiIUFRXZH2dnZwMATCYTTCZTrdZmO15tH5fqB9tP+diGyqfkNlz06zFczC5CuK87JnZvrMjf4WbVZfvV5JiSEELUegW1JD4+Hq+//jq8vb2h1+vRvXt3zJs3D02aNKl0nzlz5pRZvnLlShgMhrosl4iIGoj0QmDeHjUsQsJDLSxo5+e0H6WKlZ+fj3HjxiErKwtGo7HSbZ06zPzyyy/Iz89H8+bNcfHiRbzyyis4cuQIDh48CH9//3L3Ka9nJjw8HOnp6VW+GDVlMpmwceNGDBgwAFqttlaPTXWP7ad8bEPlU2obTv1iN349koZbYvyxdGInSJIkd0myqMv2y87ORkBAQLXCjFOfZhoyZIj953bt2qFnz56IiYnB8uXLMWvWrHL30ev10Ov1ZZZrtdo6e6PU5bGp7rH9lI9tqHxKasOEo2n49UgaNCoJc+5qA52OY2Xqov1qcjynns10PQ8PD7Rr1w7Hjh2TuxQiImqATBYr5v5wEAAwoWcUmgZ5yVwRAQoLM0VFRTh8+DBCQ0PlLoWIiBqg5duScSItD/4eOl4gz4k4dZh56qmnkJCQgFOnTuGvv/7CPffcg+zsbEycOFHu0oiIqIFJuVKAtzYeBVByV2xvd2WcFmsInHrMzLlz5zB27Fikp6cjMDAQPXr0wPbt2xEZGSl3aURE1IAIIfDPNQeQV2xBpwgfjO4SLndJdA2nDjNffvml3CUQERFh7d4UbD5yCTq1Cv8Z1R5qVcOcveSsnPo0ExERkdwy84ox54dDAIAZtzdFs2AO+nU2DDNERESVmPvDQWTmFaNFsBem9omRuxwqB8MMERFRBbYcuYQ1e1KgkoD/3NMeOg0/Np0RW4WIiKgcuUVmvPjdfgDAA7dEo0O4j7wFUYUYZoiIiMrxrx8OISWrEOF+7pg1sLnc5VAlGGaIiIiu88v+VHy18ywkCXhtVCwMOqee/NvgMcwQERFdIzWrAM+tLjm9NLVPDHrGlH9jY3IeDDNERESlrFaBp1btRVaBCe0aeeOJ/jy9pAQMM0RERKU++d8p/HE8A+5aNRbe14GzlxSCrURERATgYEoWXlt/BADw8vDWiAn0lLkiqi6GGSIiavByi8x47L+7YbIIDGwdjPu68t5LSsIwQ0REDZoQAs98sxcn0vIQbNTj36PaQ5J47yUlYZghIqIG7aPfT+Ln/RegVUt4//7O8PPQyV0S1RDDDBERNVjbTqTj37+UjpMZ1hqdI31lrohuBMMMERE1SClXCvDoyt2wCuDuTo3wfz0i5S6JbhDDDBERNThFZgse+WIXMvKK0TrUiHkj23GcjIIxzBARUYMihMCL3x3A3rNX4O2uxYfjO8NNq5a7LLoJDDNERNSgLNp8HN/8fQ5qlYR3xnZEuJ9B7pLoJjHMEBFRg/Hd7nNYsPEoAGDOnW3Qp3mgzBVRbWCYISKiBmH7yQw8880+AMCU25pwwK8LYZghIiKXd/xSLqas+Bsmi8Ad7ULw7OCWcpdEtYhhhoiIXNrF7EJMXrYDWQUmdIzwwYJ7O0Cl4swlV8IwQ0RELisjtwj3f/wXzmYWINLfgI8ndOHMJRfEMENERC4pq8CE8Z/swPFLuQj1dsPnD3aHv6de7rKoDjDMEBGRy8krMmPS0h04lJqNAE8dPn+oO6dguzCGGSIicimFJgseWr4Tu8+UXBRvxYPdERPoKXdZVIcYZoiIyGXkF5vx8Gc78efJDHjqNfjsgW5oFWqUuyyqYxq5CyAiIqoNWQUmPLAsEX+fvgyDTo1PJnZBbLiP3GVRPWCYISIixcvILcKET3fgYEo2jG4aLHugGzpF+MpdFtUThhkiIlK0C1mFuP/j7TiRlocATx0+e6A7Wofx1FJDwjBDRESKdSItF5OW7sDZzIKS6dcPcbBvQ8QwQ0REirT9ZAamrPgbWQUmRPob8PmDnH7dUDHMEBGR4ny3+xye+WYfTBaBjhE++GhCFwTwgngNFsMMEREphhAC7/x6HG9tOgoAGNI2BG+N6cBbFDRwDDNERKQIBcUWPL96H9bsSQEATLmtCZ4d3JI3jSSGGSIicn7J6XmY+vnfOHIhB2qVhLl3tcH93SPlLoucBMMMERE5tU2HLuKJr/cgp9CMAE8d3h3XCT2a+MtdFjkRhhkiInJKFqvAwk1HsWjzcQBApwgfvH9/Z4R4u8lcGTkbhhkiInI6ZzPzMevrPUhMvgwAmNQrCi/c0Qo6DW8pSGUxzBARkVNZs/s8XlpzADlFZnjqNXhlRFuM6NhI7rLIiTHMEBGRU8gqMOGlNQewdm/JbKXOkb5YOKYDL4RHVWKYISIi2W1OSkP8D4eRmlUItUrCY7c3w/S+MdCoeVqJqsYwQ0REssnIK8byoyrs+nM3ACDS34C3xnTgHa+pRhhmiIio3gkhsHZvCuLXHsTlfBVUEvBw7yaY2b853HW8mi/VDMMMERHVq2MXcxD/w0H8cTwDABBqEHhvQg90igqQuTJSKoYZIiKqF9mFJry96RiWb0uG2Sqg06jwyG3RiMhLQrtG3nKXRwrGMENERHXKbLFi9a7zeG19EtJziwAAA1oH46WhrRFq1OLnn5NkrpCUjmGGiIjqhBACvxy4gDc3JOFEWh4AoEmAB14e3hpxLYIAACaTSc4SyUUwzBARUa0SQuC3Y+l4Y30S9p/PAgD4GLSYHtcUE3tF8Sq+VOsYZoiIqFYIIbD5yCW8u+U4dp+5AgDw0KnxYO8meKh3NIxuWnkLJJfFMENERDfFYhX4eX8q3ttyHEcu5AAAdBoVJvSIxCNxMfD31MtcIbk6hhkiIrohuUVmfLPzLJZtS0ZyRj6Akp6Y/+sZiQdvjUaQF+9uTfWDYYaIiGrkdEYelm1Lxqqd55BbZAZQMiZmcq9oTOwVCR+DTuYKqaFhmCEioiqZLFZsOnQRXyaexW/H0iBEyfKYQA9MuiUad3dsBA89P1JIHvzLIyKiCp1Kz8NXiWfxzd9nkZ5bbF8e1yIQk2+JRu+mAVCpJBkrJGKYISKi66TnFuHHvSlYsycFe85esS8P8NRjdJfGGNMlHFEBHvIVSHQdhhkiAlAyrfZkeh7+OJ6O7AITzFYBq1XAUno+waDTwF2rhodeDYNOA63a9q9xCZIECFFyKqLYbC35brHCZBGwWK32Y5mtAipJgkoCJEmCSpIgIGAyCxRbLDBZhH1/U+n+xRYrzBYrrAKwWgWsQsAqAAFAWK1IS1NhVdrfkKSrvQO2n0ue0wqLVcBkKdlXkiSoJUCjUkGlAiSU7VWQJEAlSfbvtnql0mNLEqBRSVCrpNLvKmjVVx+rSr/rNCro1GrotSro1CroNCXbaVQqaEq/u+tUMOg0MOjU9u8l25XsYzvutb9fXcgqMGHToYv4YV8Kfj+WDou1pN1VEnBb80Dc1zUC/VoFQavmNWLI+TDMEDVgxWYrtp/MwOYjl7Al6RJOl85IURYVkJUhdxF1Sq2S4K5Vw02rLgk/Wg083TTw1Gvg5Vby5anXwKAr/a5Xw0Ongbe7Ft4GLXzctfAx6GDQqWEVAhZrSSAsNFmQcDQNP+9PxR/H02GyCPtzxjb2xl0dGmFYbChnJZHTY5ghaoDOXc7Hyr/O4OudjuMgtGoJXaP8EOFngEolQS2V9AoAQH6xGfnFFhQUW5BXbIbFKiBKe0iu3V+nUUOnLumV0KhU9h4MdWmPBVDSC2S1AtbSXh97T0Rpz4VOrYZWI5X2TKiu7m/vMSn52WKxYO/evegQGwu1Rm0flGqrS62CvQaNWgW1CrBaAYu42lN0bf02QpT8brZeIGvpAQWuPrbtbyn9brZYYbHC3hNltpb0MhWZrSgyW1BsLum1slgFTKXbmy0ChWYL8orMpa+rBfnFZodQAZRcxyW3yGyfOVRXWgR7YUi7ENwZG4YmgZ51+lxEtYlhhqiBsFgFfjuWhs//PI3NSZfsH/wBnnr0axmEvi2DcGuzAHgqaEaKyWSCLmUP7ugQBq3Wda4uK0RJGLKdtisyW1FQbEGByWIPlLlFZuQUmkpCTmFJ0MkrNiO/yGL/OavAhCv5JmTlm5BTQRBqGeKFoe1CMaRdKJoGMcCQMinn/1pEdEPOZuZj1c6z+Obvc0jJKrQvv7VpAP6vRyT6twqChuMgnIokSdCqJWjVKtTWJVtMFisKTZbSHq6SL1uPF5HSMcwQuaCcQhM2Hb6Ib/8+j/8dT7cv93bXYlSnxri/RwRieBqhQdGWnrIjckUMM0QuIr/YjF8PX8KP+1KwJSkNxWarfd2tTQNwb9dwDGwdDDetWsYqiYhqH8MMkYKdzczH1qRL2JqUhj9OpKPQdDXANAnwwLDYMIzu3BjhfgYZqyQiqlsMM0QKkltkxl8nM/DH8QwkHL2EE2l5Dusj/AwY1j4Uw9qHoVWoV51fm4SIyBkwzBA5sdwiM3afuYwdpzLxx/F07D2XZb+YGVBy/ZHOkb6IaxGIuOZBDDBE1CAxzBA5CSEEzl0uwO6zV7Dr9GUkJmficGo2rNddCCXS34BeMQHo3SwAtzQNgLe760xJJiK6EQwzRDKwWgXOXs5H0oUcHErNxt6zV7D3XBYy84rLbNvIxx1donzRK8YfvWICOP6FiOg6DDNEdajQZMGZzHycTMvFyfQ8nEzLw7GLOTh6MRcFJkuZ7bVqCa1DjegY4YvOkb7oEuWLUG93GSonIlIOhhmim1BktuBiVhFSsgqQmlWAs5kFOJuZjzOZ+Th3uWTZ9aeJbHQaFZoGeqJliBdiw30QG+6DVqFe0Gs4dZqIqCYYZoiuY7UKZBWYkJFXhIzcYmTmFSM9rxhp2YW4lFOESzlFuJhdiIvZhQ73NaqIl16DJoEeiA7wQHSAJ5oFe6JFiBci/Qy88i4RUS1QRJh5//338frrryM1NRVt2rTBwoUL0bt3b7nLIicjhECxxYr8opIbIeYXl9zAz+F7ccl9bLILTbiSV4wjJ1VYvWIXsgpK7mNzOb8YWQUm+32LqkOnUSHM2w2h3u5o7OuOCD8Dwku/IvwMCPDUcYYREVEdcvow89VXX2HmzJl4//33ccstt+DDDz/EkCFDcOjQIURERMhdnmJcexdggdLvwvG77S7G194p2CqE/e7IFquw323YUrrcdgdii9Xxy2y12u8mbCm9YZ7FKmC2CJisJXcLNlms9rsNm0ofm0p/LjJb7TfZs30vtlhRZCq5A3FR6R2IC00WFJqtKCr9bqnonE6FVEB6erlrjG4a+Hvq4e+hg5+HDoFeegR5uSHIqEeQlx7BRjeEervBz4NhhYhITk4fZhYsWIAHH3wQDz30EABg4cKFWL9+PT744APMnz+/zPZFRUUoKiqyP87OzgZQcnddk8lUa3Wt3HEWH//vFPLz1Xj98G+A7cOs9J/0to9U27/wBUoChX1dBcuvbi+u/ixKHl/9+Zpl1wSUq+uE/WdbWGlo9BoVDDo1DDo1PHQaGPRqGLRquOvU8NJr4OWuhadWQsqZk+jSvjX8Pd3hbdDA110HH4MW3u5a6DTVOwVkNpd/N2Kqe7b3dG2+t6l+sQ2VrS7brybHlIRw3o+64uJiGAwGrFq1CiNHjrQvf/zxx7Fnzx4kJCSU2Sc+Ph5z5swps3zlypUwGGpvSuvG8xJ+POPaAzVVEJAkQIWSrGb7WXXdz6rrfy79UkuAhJLvKkmUfi95rJYAteqan0sfa+yPBTQqQFO6jUYCtKWPNSpAKwEalbAv05Xuq1cDOnXJPkREpFz5+fkYN24csrKyYDQaK93WqXtm0tPTYbFYEBwc7LA8ODgYFy5cKHef559/HrNmzbI/zs7ORnh4OAYOHFjli1ETnbILMS49FzsSd6B7t25QazSwfX7aTjlcfVz6HVc/Ya89KyFJJeuubnd1Wel/kCTJ4Xhl1189hqr0QCWhQ3L8fs02qmuOo1JJpUFDKj2+66cBk8mEjRs3YsCAAdBqeeE5JWIbKh/bUNnqsv1sZ1aqw6nDjM31H6xCiAo/bPV6PfR6fZnlWq22Vl/ocH8tQoxuSDsCdIkO4JtQwWr7b4PqH9tQ+diGylYX7VeT4zn1vNCAgACo1eoyvTCXLl0q01tDREREDZNThxmdTofOnTtj48aNDss3btyIXr16yVQVEREROROnP800a9YsjB8/Hl26dEHPnj2xZMkSnDlzBlOnTpW7NCIiInICTh9mxowZg4yMDMydOxepqalo27Ytfv75Z0RGRspdGhERETkBpw8zADBt2jRMmzZN7jKIiIjICTn1mBkiIiKiqjDMEBERkaIxzBAREZGiMcwQERGRojHMEBERkaIxzBAREZGiMcwQERGRojHMEBERkaIp4qJ5N0MIAaBmtxKvLpPJhPz8fGRnZ/NurwrE9lM+tqHysQ2VrS7bz/a5bfscr4zLh5mcnBwAQHh4uMyVEBERUU3l5OTA29u70m0kUZ3Io2BWqxUpKSnw8vKCJEn25V27dkViYmK5+5S3rrxl2dnZCA8Px9mzZ2E0Gmu/+Bqo7Pepr2PVZL/qbFvVNhWtr+5yV22/mzke2/DGNcQ2vJF1bMPa3e9G32PVWV+dz8K6bD8hBHJychAWFgaVqvJRMS7fM6NSqdC4ceMyy9VqdYUvfHnrKtveaDTK/iasrL76OlZN9qvOtlVtU9H6mi53tfa7meOxDW9cQ2zDG1nHNqzd/W70PVad9TX5LKyr9quqR8amwQ4Anj59eo3WVba9M6jN+m70WDXZrzrbVrVNRetrutwZ1HZtbMP61xDb8EbWsQ1rd78bfY9VZ72SPgtd/jRTXcrOzoa3tzeysrJk/xcF1RzbT/nYhsrHNlQ2Z2m/BtszUxv0ej1mz54NvV4vdyl0A9h+ysc2VD62obI5S/uxZ4aIiIgUjT0zREREpGgMM0RERKRoDDNERESkaAwzREREpGgMM0RERKRoDDP14OzZs4iLi0Pr1q3Rvn17rFq1Su6S6AaMHDkSvr6+uOeee+Quharhxx9/RIsWLdCsWTN8/PHHcpdDN4DvOWWrz88+Ts2uB6mpqbh48SI6dOiAS5cuoVOnTkhKSoKHh4fcpVENbNmyBbm5uVi+fDm++eYbucuhSpjNZrRu3RpbtmyB0WhEp06d8Ndff8HPz0/u0qgG+J5Ttvr87GPPTD0IDQ1Fhw4dAABBQUHw8/NDZmamvEVRjfXt2xdeXl5yl0HVsGPHDrRp0waNGjWCl5cX7rjjDqxfv17usqiG+J5Ttvr87GOYAfDbb79h+PDhCAsLgyRJWLNmTZlt3n//fURHR8PNzQ2dO3fG77//fkPPtXPnTlitVoSHh99k1XSt+mxDqns3254pKSlo1KiR/XHjxo1x/vz5+iidSvE9qXy12YZ1/dnHMAMgLy8PsbGxePfdd8td/9VXX2HmzJl48cUXsXv3bvTu3RtDhgzBmTNn7Nt07twZbdu2LfOVkpJi3yYjIwMTJkzAkiVL6vx3amjqqw2pftxse5Z39lySpDqtmRzVxnuS5FVbbVgvn32CHAAQ3333ncOybt26ialTpzosa9mypXjuueeqfdzCwkLRu3dv8dlnn9VGmVSJumpDIYTYsmWLGDVq1M2WSDVwI+35xx9/iBEjRtjXPfbYY+KLL76o81qpfDfznuR7zjncaBvW12cfe2aqUFxcjL///hsDBw50WD5w4EBs27atWscQQmDSpEm4/fbbMX78+LookypRG21IzqM67dmtWzccOHAA58+fR05ODn7++WcMGjRIjnKpHHxPKl912rA+P/sYZqqQnp4Oi8WC4OBgh+XBwcG4cOFCtY7xxx9/4KuvvsKaNWvQoUMHdOjQAfv376+LcqkctdGGADBo0CCMHj0aP//8Mxo3bozExMTaLpWqoTrtqdFo8Oabb6Jv377o2LEjnn76afj7+8tRLpWjuu9JvuecV3XasD4/+zR1clQXdP35diFEtc/B33rrrbBarXVRFtXAzbQhAM6GcTJVteedd96JO++8s77Lohqoqg35nnN+lbVhfX72sWemCgEBAVCr1WX+BX/p0qUyiZScE9vQtbA9lY9tqHzO1oYMM1XQ6XTo3LkzNm7c6LB848aN6NWrl0xVUU2wDV0L21P52IbK52xtyNNMAHJzc3H8+HH741OnTmHPnj3w8/NDREQEZs2ahfHjx6NLly7o2bMnlixZgjNnzmDq1KkyVk3XYhu6Fran8rENlU9RbVinc6UUYsuWLQJAma+JEyfat3nvvfdEZGSk0Ol0olOnTiIhIUG+gqkMtqFrYXsqH9tQ+ZTUhrw3ExERESkax8wQERGRojHMEBERkaIxzBAREZGiMcwQERGRojHMEBERkaIxzBAREZGiMcwQERGRojHMEBERkaIxzBAREZGiMcwQKUx8fDw6dOggdxmyS0pKQkhICHJycmr92FFRUVi4cGGtH5cc7d+/H40bN0ZeXp7cpZDCMcxQgzRp0iRIklTuDdGmTZsGSZIwadKk+i8MwLJlyyBJUpmvjz/+WJZ6tm7d6lCHv78/br/9dvzxxx83dJwrV67USl0vvvgipk+fDi8vr1o53s1QUsCMi4vDzJkz6+TYNQ2B7dq1Q7du3fDWW2/VST3UcDDMUIMVHh6OL7/8EgUFBfZlhYWF+O9//4uIiAgZKwOMRiNSU1Mdvu6//35Za0pKSkJqaiq2bt2KwMBADB06FJcuXZKllnPnzmHt2rWYPHmyLM9fF0wmk9wlyGLy5Mn44IMPYLFY5C6FFIxhhhqsTp06ISIiAqtXr7YvW716NcLDw9GxY0eHbdetW4dbb70VPj4+8Pf3x7Bhw3DixAn7+uLiYsyYMQOhoaFwc3NDVFQU5s+fb18fHx+PiIgI6PV6hIWF4bHHHqu0NkmSEBIS4vDl7u5e7rZWqxVz585F48aNodfr0aFDB6xbt86+ftSoUXj00Uftj2fOnAlJknDw4EEAgNlshpeXF9avX19pTUFBQQgJCUG7du3wz3/+E1lZWfjrr7/s6z///HN06dIFXl5eCAkJwbhx4+xhJzk5GX379gUA+Pr6OvR8CSHw2muvoUmTJnB3d0dsbCy++eabSmv5+uuvERsbi8aNG9uXLVu2DD4+Pvjxxx/RokULGAwG3HPPPcjLy8Py5csRFRUFX19fPProow4fnJcuXcLw4cPh7u6O6OhofPHFF2We78yZM7jrrrvg6ekJo9GIe++9FxcvXrQ/75w5c7B3715779WyZcsqrR8oaePFixfjrrvugoeHB1555RUAwA8//IDOnTvDzc0NTZo0wZw5c2A2m+37LViwAO3atYOHhwfCw8Mxbdo05ObmOhz7jz/+QJ8+fWAwGODr64tBgwbh8uXLmDRpEhISEvD222/ba01OTobFYsGDDz6I6OhouLu7o0WLFnj77bcdjjlp0iSMGDECb7zxBkJDQ+Hv74/p06fbQ1hcXBxOnz6NJ554wn5sADh9+jSGDx8OX19feHh4oE2bNvj555/txx00aBAyMjKQkJBQ5WtGVCFZ7tVNJLOJEyeKu+66SyxYsED069fPvrxfv37irbfeEnfddZfDbe6/+eYb8e2334qjR4+K3bt3i+HDh4t27doJi8UihBDi9ddfF+Hh4eK3334TycnJ4vfffxcrV64UQgixatUqYTQaxc8//yxOnz4t/vrrL7FkyZIKa1u6dKnw9vaucP3s2bNFbGys/fGCBQuE0WgU//3vf8WRI0fEM888I7RarTh69KgQQoh33nlHtG3b1r59hw4dREBAgHjvvfeEEEJs27ZNaDQakZOTU+7zbdmyRQAQly9fFkIIkZeXJ5544gkBQPzyyy/27T755BPx888/ixMnTog///xT9OjRQwwZMkQIIYTZbBbffvutACCSkpJEamqquHLlihBCiBdeeEG0bNlSrFu3Tpw4cUIsXbpU6PV6sXXr1gpfg7vuuktMnTq1zOum1WrFgAEDxK5du0RCQoLw9/cXAwcOFPfee684ePCg+OGHH4ROpxNffvmlfb8hQ4aItm3bim3btomdO3eKXr16CXd3d/HWW28JIYSwWq2iY8eO4tZbbxU7d+4U27dvF506dRJ9+vQRQgiRn58vnnzySdGmTRuRmpoqUlNTRX5+foW12wAQQUFB4pNPPhEnTpwQycnJYt26dcJoNIply5aJEydOiA0bNoioqCgRHx9v3++tt94SmzdvFidPnhS//vqraNGihXjkkUfs63fv3i30er145JFHxJ49e8SBAwfEokWLRFpamrhy5Yro2bOnePjhh+21ms1mUVxcLF5++WWxY8cOcfLkSfH5558Lg8EgvvrqK/txJ06cKIxGo5g6dao4fPiw+OGHH4TBYLD/LWdkZIjGjRuLuXPn2o8thBBDhw4VAwYMEPv27RMnTpwQP/zwg0hISHB4Lbp16+bwOxLVFMMMNUi2MJOWlib0er04deqUSE5OFm5ubiItLa1MmLnepUuXBACxf/9+IYQQjz76qLj99tuF1Wots+2bb74pmjdvLoqLi6tV29KlSwUA4eHhYf8KDg62r78+zISFhYlXX33V4Rhdu3YV06ZNE0IIsW/fPiFJkkhLSxOZmZlCq9WKV155RYwePVoIIcS8efNE9+7dK6zHFmZstUiSJACIzp07V/o77dixQwCwh6TrQ5EQQuTm5go3Nzexbds2h30ffPBBMXbs2AqPHRsbK+bOneuwzPa6HT9+3L5sypQpwmAwOAS1QYMGiSlTpgghhEhKShIAxPbt2+3rDx8+LADYw8yGDRuEWq0WZ86csW9z8OBBAUDs2LFDCFG2TaoDgJg5c6bDst69e4t58+Y5LFuxYoUIDQ2t8Dhff/218Pf3tz8eO3asuOWWWyrcvk+fPuLxxx+vsr5p06aJUaNG2R9PnDhRREZGCrPZbF82evRoMWbMGPvjyMhI++tm065duyqDysiRI8WkSZOqrImoIhoZOoOInEZAQACGDh2K5cuXQwiBoUOHIiAgoMx2J06cwEsvvYTt27cjPT0dVqsVQMnph7Zt22LSpEkYMGAAWrRogcGDB2PYsGEYOHAgAGD06NFYuHAhmjRpgsGDB+OOO+7A8OHDodFU/Pbz8vLCrl277I9VqvLPCGdnZyMlJQW33HKLw/JbbrkFe/fuBQC0bdsW/v7+SEhIgFarRWxsLO6880688847AEoG5vbp06fK1+r333+Hh4cHdu/ejWeffRbLli2DVqu1r9+9ezfi4+OxZ88eZGZmOrxGrVu3LveYhw4dQmFhIQYMGOCwvLi4uMypvmsVFBTAzc2tzHKDwYCYmBj74+DgYERFRcHT09Nhme301+HDh6HRaNClSxf7+pYtW8LHx8f++PDhwwgPD0d4eLh9WevWreHj44PDhw+ja9euFdZZlWufFwD+/vtvJCYm4tVXX7Uvs1gsKCwsRH5+PgwGA7Zs2YJ58+bh0KFDyM7OhtlsRmFhIfLy8uDh4YE9e/Zg9OjRNa5l8eLF+Pjjj3H69GkUFBSguLi4zKDmNm3aQK1W2x+HhoZi//79lR73sccewyOPPIINGzagf//+GDVqFNq3b++wjbu7O/Lz82tcM5ENwww1eA888ABmzJgBAHjvvffK3Wb48OEIDw/HRx99hLCwMFitVrRt2xbFxcUASsbfnDp1Cr/88gs2bdqEe++9F/3798c333yD8PBwJCUlYePGjdi0aROmTZuG119/3R4uyqNSqdC0adNq/w628Qk2Qgj7MkmScNttt2Hr1q3Q6XSIi4tD27ZtYbFYsH//fmzbtq1as1uio6Ph4+OD5s2bo7CwECNHjsSBAweg1+uRl5eHgQMHYuDAgfj8888RGBiIM2fOYNCgQfbXqDy2wPPTTz+hUaNGDuv0en2F+wUEBODy5ctlll//ekqSVO4y2/MKIezLKnLta1md5TXh4eHh8NhqtWLOnDm4++67y2zr5uaG06dP44477sDUqVPxr3/9C35+fvjf//6HBx980D52paKxVZX5+uuv8cQTT+DNN99Ez5494eXlhddff91hTBRQ/utrey0r8tBDD2HQoEH46aefsGHDBsyfPx9vvvmmwziuzMxMhxBKVFMcAEwN3uDBg1FcXIzi4mIMGjSozPqMjAwcPnwY//znP9GvXz+0atWq3A9So9GIMWPG4KOPPsJXX32Fb7/9FpmZmQBKPmBsvSFbt27Fn3/+WeW/aKvDaDQiLCwM//vf/xyWb9u2Da1atbI/jouLw9atW7F161bExcVBkiT07t0bb7zxBgoKCsr07FRl/PjxsFqteP/99wEAR44cQXp6Ov7973+jd+/eaNmyZZmZTjqdDgAcBt+2bt0aer0eZ86cQdOmTR2+ru0JuV7Hjh1x6NChGtVcnlatWsFsNmPnzp32ZUlJSQ7Tx1u3bo0zZ87g7Nmz9mWHDh1CVlaW/TXW6XS1MhunU6dOSEpKKvNaNG3aFCqVCjt37oTZbMabb76JHj16oHnz5khJSXE4Rvv27fHrr79W+Bzl1fr777+jV69emDZtGjp27IimTZs6DHCvropeh/DwcEydOhWrV6/Gk08+iY8++shh/YEDByrtiSOqCntmqMFTq9U4fPiw/efr+fr6wt/fH0uWLEFoaCjOnDmD5557zmGbt956C6GhoejQoQNUKhVWrVqFkJAQ+Pj4YNmyZbBYLOjevTsMBgNWrFgBd3d3REZG1kr9Tz/9NGbPno2YmBh06NABS5cuxZ49exxm5cTFxeHxxx+HRqNB79697cuefPJJdOrUCUajsUbPqVKpMHPmTLzyyiuYMmUKIiIioNPpsGjRIkydOhUHDhzAv/71L4d9IiMjIUkSfvzxR9xxxx1wd3eHl5cXnnrqKTzxxBOwWq249dZbkZ2djW3btsHT0xMTJ04s9/kHDRqEhx56CBaLpdw2qy7bacGHH34YS5YsgUajwcyZMx16N/r374/27dvj/vvvx8KFC2E2mzFt2jT06dPHfpooKioKp06dwp49e9C4cWN4eXlV2rNUkZdffhnDhg1DeHg4Ro8eDZVKhX379mH//v145ZVXEBMTA7PZjEWLFmH48OH4448/sHjxYodjPP/882jXrh2mTZuGqVOnQqfTYcuWLRg9ejQCAgIQFRWFv/76C8nJyfD09ISfnx+aNm2Kzz77DOvXr0d0dDRWrFiBxMREREdH16j+qKgo/Pbbb7jvvvug1+sREBCAmTNnYsiQIWjevDkuX76MzZs3OwTt5ORknD9/Hv3796/x60VkJ+uIHSKZ2AYAV+T6AcAbN24UrVq1Enq9XrRv315s3bpVABDfffedEEKIJUuWiA4dOggPDw9hNBpFv379xK5du4QQQnz33Xeie/fuwmg0Cg8PD9GjRw+xadOmCp+7prOZLBaLmDNnjmjUqJHQarUiNjbWYZaRECUzcgIDA0WXLl3sy3bv3i0AiKeeeqrC5xKi/IG7QpQM3vX19RX/+c9/hBBCrFy5UkRFRQm9Xi969uwp1q5dKwCI3bt32/eZO3euCAkJEZIk2V9fq9Uq3n77bdGiRQuh1WpFYGCgGDRoUJkZL9cym82iUaNGYt26dfZl5b1u5Q3Mvb7tU1NTxdChQ4VerxcRERHis88+KzOQ9fTp0+LOO+8UHh4ewsvLS4wePVpcuHDBvr6wsFCMGjVK+Pj4CABi6dKlFdZuc+3fz7XWrVtnn1FlNBpFt27dHGa/LViwQISGhgp3d3cxaNAg8dlnn5Vpn61bt4pevXoJvV4vfHx8xKBBg+zrk5KSRI8ePYS7u7sAIE6dOiUKCwvFpEmThLe3t/Dx8RGPPPKIeO655xxeu/LeM48//rh9VpcQQvz555+iffv2Qq/XC9vHy4wZM0RMTIzQ6/UiMDBQjB8/XqSnp9v3mTdvnhg0aFCVrxdRZSQhSk8aExEpyPvvv4/vv/++yuvjkPMqKipCs2bN8N///rfGpzqJrsXTTESkSP/4xz9w+fJl5OTkOMUtDajmTp8+jRdffJFBhm4ae2aIiGrZF198gSlTppS7LjIy0n71ZSKqHQwzRES1LCcnx367g+tptdpaG/xNRCUYZoiIiEjReJ0ZIiIiUjSGGSIiIlI0hhkiIiJSNIYZIiIiUjSGGSIiIlI0hhkiIiJSNIYZIiIiUrT/B/j5tY2k3RjfAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(Ka_values, y_values)\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Ka')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Strain rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(mdot_values, y_values)\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Mass Flow Rate (mdot_reactants)')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Mass Flow Rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(mdot_values, Ka_values)\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Mass Flow Rate (mdot_reactants)')\n",
    "plt.ylabel('Ka')\n",
    "plt.title('Mass Flow Rate vs. Strain rate')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f9508169-e58b-4a59-8dec-efe341b5d517",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "beta: 0.78916\n"
     ]
    }
   ],
   "source": [
    "def calculate_heat_loss_coefficient(Tp, Tad, Tr):\n",
    "    beta = (Tp - Tr) / (Tad - Tr)\n",
    "    return beta\n",
    "    \n",
    "beta = calculate_heat_loss_coefficient(1500, Tad, T0)\n",
    "print(f'beta: {beta:.5f}')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
